Free Printable WorksheetMathGeometryMath CurriculumG-GPE.B.5

GEO.137 Write equations of lines Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.137 Write equations of lines. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.137 Write equations of lines - Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.B.5. Skill statement in this prompt cell: Select the correct equation of a line given points and slope, and identify the meaning of the slope and intercept. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.B.5; FL MA.912.GR.3.3; MA G-GPE.B.5; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.137 Write equations of lines skill assessments:

Problem 1Difficulty: Mastery
A line has y-intercept -6 and passes through (12, 0). Which equation and slope meaning are correct?
Ay = (1/2)x - 6; y increases 1 unit for every 2 units x increases
By = 2x - 6; y increases 2 units for every 1 unit x increases
Cy = (-1/2)x - 6; y decreases 1 unit for every 2 units x increases
Dy = (1/2)x + 6; y increases 1 unit for every 2 units x increases
Solution & Explanation:The y-intercept is -6, so use point (0, -6) and (12, 0). The slope is (0 - (-6))/(12 - 0) = 6/12 = 1/2, meaning y increases 1 for every 2 units x increases.
Problem 2Difficulty: Mastery
Use the coordinate graph for this item: a reference line has slope -2/3. A new line through P(4, 1) is parallel to the reference line. Which equation represents the new line?
Ay = (-2/3)x + 11/3
By = (2/3)x - 5/3
Cy = (-3/2)x + 7
Dy = (-2/3)x + 1
Solution & Explanation:Parallel lines have the same slope, so the new slope is -2/3. Substitute (4, 1): 1 = (-2/3)(4) + b = -8/3 + b, so b = 11/3.
Problem 3Difficulty: Mastery
A line passes through (-8, -3) and (-2, 6). Which equation represents the line?
Ay = (3/2)x + 9
By = (2/3)x + 9
Cy = (-3/2)x - 15
Dy = (3/2)x - 9
Solution & Explanation:The slope is (6 - (-3))/(-2 - (-8)) = 9/6 = 3/2. Substitute (-2, 6): 6 = (3/2)(-2) + b = -3 + b, so b = 9.

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Frequently Asked Questions

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QIs this GEO.137 Write equations of lines worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-GPE.B.5 (Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.B.5. Skill statement in this prompt cell: Select the correct equation of a line given points and slope, and identify the meaning of the slope and intercept. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.B.5; FL MA.912.GR.3.3; MA G-GPE.B.5; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).

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